In this talk, we revisit the Jacquet-Langlands correspondence for GL2. We restate this correspondence using the notion of supercuspidal types.
A noncrossing partition is a partition that has no crossing. It plays an important role in recent study of free probability.
In the study of any kind of spaces, compact Hausdorff spaces play a very important role. Unfortunately, these concepts don’t really make sense for varieties (or schemes) because the Zariski topology is really stupid.
Recall that the Lorentz ideal Cp− is the collection of operators A satisfying the condition ∥A∥
The vacuum structure of gauge theory on tori is surprisingly rich. For certain gauge groups, there exist disconnected components in the space of flat connections, which can be used to build novel topologically non-trivial gauge-field configurations.
Free probability is a non-commutative probability theory that arises by examining the joint mo- ments of operators acting on the left-hand side of reduced free product spaces.
We will continue our discussion of the approach to calibrated geometry of Leung-Lee in the language of instantons and branes on manifolds with vector cross product.
Higher category theory and higher groupoids are intimately connected, and at a minimum, the importance of this point of view is that n-categories allow us to avoid mistaking isomorphism f
In this talk, I intend to begin by putting the final nail in the coffin of our prolonged discussion of separatedness.